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Finding the Fourth Proportional to 149,393.88, 206,160.84 and 81,411.42

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Solution

The fourth proportional to 149,393.88, 206,160.84 and 81,411.42 is: 112,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,393.88 : 206,160.84 = 81,411.42 : x
  2. Step 2: Convert to fraction form
    149,393.88/206,160.84 = 81,411.42/x
  3. Step 3: Cross multiply
    149,393.88x = 206,160.84 × 81,411.42
  4. Step 4: Simplify right side
    149,393.88x = 16,783,846,732.79
  5. Step 5: Solve for x
    x = 16,783,846,732.79/149,393.88
  6. Step 6: Final answer
    x = 112,346.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.